Acta Mathematica Scientia最新文献_第4页

A novel stochastic Hepatitis B virus epidemic model with second-order multiplicative α-stable noise and real data 具有二阶乘法 α 稳定噪声和真实数据的新型随机乙型肝炎病毒流行模型

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0220-1

{"title":"A novel stochastic Hepatitis B virus epidemic model with second-order multiplicative α-stable noise and real data","authors":"","doi":"10.1007/s10473-024-0220-1","DOIUrl":"https://doi.org/10.1007/s10473-024-0220-1","url":null,"abstract":"<h3>Abstract</h3> This work presents an advanced and detailed analysis of the mechanisms of hepatitis B virus (HBV) propagation in an environment characterized by variability and stochas-ticity. Based on some biological features of the virus and the assumptions, the corresponding deterministic model is formulated, which takes into consideration the effect of vaccination. This deterministic model is extended to a stochastic framework by considering a new form of disturbance which makes it possible to simulate strong and significant fluctuations. The long-term behaviors of the virus are predicted by using stochastic differential equations with second-order multiplicative α-stable jumps. By developing the assumptions and employing the novel theoretical tools, the threshold parameter responsible for ergodicity (persistence) and extinction is provided. The theoretical results of the current study are validated by numerical simulations and parameters estimation is also performed. Moreover, we obtain the following new interesting findings: (a) in each class, the average time depends on the value of α; (b) the second-order noise has an inverse effect on the spread of the virus; (c) the shapes of population densities at stationary level quickly changes at certain values of α. The last three conclusions can provide a solid research base for further investigation in the field of biological and ecological modeling.","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Three kinds of dentabilities in Banach spaces and their applications 巴拿赫空间中的三种齿性及其应用

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0204-1

引用次数: 0

Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces 与满足高斯估计的非负自兼算子和球准巴纳赫函数空间相关的哈代空间的最大函数特征

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0207-y

{"title":"Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces","authors":"","doi":"10.1007/s10473-024-0207-y","DOIUrl":"https://doi.org/10.1007/s10473-024-0207-y","url":null,"abstract":"<h3>Abstract</h3> Assume that L is a non-negative self-adjoint operator on L2(ℝn) with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space on ℝn satisfying some mild assumptions. Let HX, L(ℝn) be the Hardy space associated with both X and L, which is defined by the Lusin area function related to the semigroup generated by L. In this article, the authors establish various maximal function characterizations of the Hardy space HX,L(ℝn) and then apply these characterizations to obtain the solvability of the related Cauchy problem. These results have a wide range of generality and, in particular, the specific spaces X to which these results can be applied include the weighted space, the variable space, the mixed-norm space, the Orlicz space, the Orlicz-slice space, and the Morrey space. Moreover, the obtained maximal function characterizations of the mixed-norm Hardy space, the Orlicz-slice Hardy space, and the Morrey-Hardy space associated with L are completely new.","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"25 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sharp Morrey regularity theory for a fourth order geometrical equation 四阶几何方程的锐莫里正则理论

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0202-3

引用次数: 0

Flocking of a thermodynamic Cucker-Smale model with local velocity interactions 具有局部速度相互作用的热力学卡克-斯马尔模型的成群分布

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0214-z

引用次数: 0

A stability result for translating spacelike graphs in Lorentz manifolds 洛伦兹流形中空间相似图平移的稳定性结果

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-03-01 DOI: 10.1007/s10473-024-0206-z

引用次数: 0

The persistence of solutions in a nonlocal predator-prey system with a shifting habitat 栖息地不断变化的非本地捕食者-猎物系统中解决方案的持续性

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI: 10.1007/s10473-024-0318-5

Min Zhao, Rong Yuan

引用次数: 0

The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians 涉及加权分数拉普拉斯的半线性问题正解的径向对称性

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI: 10.1007/s10473-024-0314-9

Ying Wang, Yanjing Qiu, Qingping Yin

{"title":"The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians","authors":"Ying Wang, Yanjing Qiu, Qingping Yin","doi":"10.1007/s10473-024-0314-9","DOIUrl":"https://doi.org/10.1007/s10473-024-0314-9","url":null,"abstract":"This paper deals with the radial symmetry of positive solutions to the nonlocal problem $$( - Delta )_gamma ^su = b(x)f(u),,,,,{rm{in}},,,{B_1}backslash { 0} ,,,,,,,u = h,,,,{rm{in}},,{mathbb{R}^N}backslash {B_1},$$ where b: B1 → ℝ is locally Holder continuous, radially symmetric and decreasing in the ∣x∣ direction, f: ℝ → ℝ is a Lipschitz function, h: B1 → ℝ is radially symmetric, decreasing with respect to ∣x∣ in ℝNB1, B1 is the unit ball centered at the origin, and (( - Delta )_gamma ^s) is the weighted fractional Laplacian with s ∈ (0, 1), γ ∈ [0, 2s) defined by $$( - Delta )_gamma ^su(x) = {c_{N,s}}mathop {lim }limits_{delta to {0^ + }} int_{{mathbb{R}^N}backslash {B_delta }(x)} {{{u(x) - u(y)} over {|x - y{|^{N + 2s}}}}|y{|^gamma }{rm{d}}y.} $$We consider the radial symmetry of isolated singular positive solutions to the nonlocal problem in whole space $$( - Delta )_gamma ^su(x) = b(x)f(u),,,,,{rm{in}},,{mathbb{R}^N}backslash { 0} ,$$ under suitable additional assumptions on b and f. Our symmetry results are derived by the method of moving planes, where the main difficulty comes from the weighted fractional Laplacian. Our results could be applied to get a sharp asymptotic for semilinear problems with the fractional Hardy operators $${( - Delta )^s}u + {mu over {|x{|^{2s}}}}u = b(x)f(u),,,,{rm{in}},,,{B_1}backslash { 0} ,,,,,,,,,u = h,,,,,,{rm{in}},,,{mathbb{R}^N}backslash {B_1},$$\u0000under suitable additional assumptions on b, f and h.","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"38 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Global weak solutions for an attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source 具有 p-Laplacian 扩散和 logistic 源的吸引-排斥趋化系统的全局弱解法

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI: 10.1007/s10473-024-0308-7

Xiaoshan Wang, Zhongqian Wang, Zhe Jia

{"title":"Global weak solutions for an attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source","authors":"Xiaoshan Wang, Zhongqian Wang, Zhe Jia","doi":"10.1007/s10473-024-0308-7","DOIUrl":"https://doi.org/10.1007/s10473-024-0308-7","url":null,"abstract":"This paper is concerned with the following attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source $$left{ {matrix{{{u_t} = nabla cdot (|nabla u{|^{p - 2}}nabla u) - chi nabla cdot (unabla v) + xi nabla cdot (unabla w) + f(u),} hfill & {x in Omega ,,,t > 0,} hfill cr {{v_t} = Delta v - beta v + alpha {u^{{k_1}}},} hfill & {x in Omega ,,,t > 0,} hfill cr {0 = Delta w - delta w + gamma {u^{{k_2}}},} hfill & {x in Omega ,,,t > 0,} hfill cr {u(x,0) = {u_0}(x),,,,v(x,0) = {v_0}(x),,,,w(x,0) = {w_0}(x),} hfill & {x in Omega .} hfill cr } } right.$$The system here is under a homogenous Neumann boundary condition in a bounded domain Ω ⊂ ℝn(n ≥ 2), with χ, ξ, α, β, γ, δ, k1, k2 > 0, p ≥ 2. In addition, the function f is smooth and satisfies that f(s) ≤ κ − μsl for all s ≥ 0, with κ ∈ ℝ, μ > 0, l > 1. It is shown that (i) if (l>max{2k_{1},{2k_{1}nover{2+n}}+{1over{p-1}}}), then system possesses a global bounded weak solution and (ii) if (k_{2}>max{2k_{1}-1,{2k_{1}nover{2+n}}+{2-pover{p-1}}}) with l > 2, then system possesses a global bounded weak solution.","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"25 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139765712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain 热力学卡克-斯马莱-斯托克斯方程全域强解的全局存在性

IF 1 4区数学

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI: 10.1007/s10473-024-0307-8

Weiyuan Zou

引用次数: 0